Collaborative Research: Entanglement, Geometry and the Physics of Fields, Strings and Gravity

这项合作赠款资助塞巴斯蒂安佛朗哥教授，Parameswaran Nair和Alexios Polychronakos在纽约城市学院的研究活动，以及纽约雷曼学院的丹尼尔Kabat教授。 在这个研究项目中，Franco，Nair，Polychronakos和Kabat教授将探索两个基本概念。 第一个是“纠缠”。 这指的是在距离很远的地方进行的测量之间令人惊讶的相关性（有时被称为“量子怪异”或“幽灵般的远距离作用”）。 第二个是空间和时间的弯曲，根据爱因斯坦的引力理论，这是引力的来源。 PI将努力通过建立联系和开发新的数学工具来联系和统一这些概念。 这些概念将在量子场论和弦理论中进行探索，量子场论是描述所有已知粒子相互作用的基本结构框架，弦理论是量子力学与引力完全统一的最有希望的方向。结果将适用于各种各样的物理系统，包括基本粒子，量子流体和重力。 这项研究将通过保持美国在探索和理解物理定律方面的优势来促进国家利益，这是所有物理学研究的中心目标。该项目还将涉及研究生，为年轻科学家提供重要的研究培训。 本科生，特别是来自代表性不足群体的本科生，将被融入研究的各个方面，从而进一步扩大该项目的社会影响。更技术性的是，塞巴斯蒂安·佛朗哥教授、帕拉梅斯瓦兰·奈尔教授、亚历克西奥斯·波利查纳科斯教授和丹尼尔·卡巴特教授的研究涉及使用许多由PI和合作者开发的新理论技术，并应用于当前感兴趣的各种问题，包括纠缠在场论，规范场动力学，超对称性破缺，对偶，并在AdS/CFT散装重建。 一个方面的进展将为另一个方面的发展提供信息，因为值得注意的是，类似的基础数学和理论工具有一个共同的线索。其中一些主题将与观测直接相关和接近，如超对称破缺和量子流体，而其他主题则侧重于更深层次的概念和数学问题，如全息AdS/CFT对应中的体重构。该奖项反映了NSF的法定使命，并被认为值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估来支持。

This Collaborative grant funds the research activities of Professors Sebastian Franco, Parameswaran Nair, and Alexios Polychronakos at the City College of New York, and Professor Daniel Kabat at the Lehman College of New York. In this research project, Professors Franco, Nair, Polychronakos, and Kabat will explore two fundamental concepts. The first of these is "entanglement". This refers to the surprising correlations between measurements carried out far from each other (sometimes referred to as "quantum weirdness” or "spooky action at a distance”). The second of these is the curvature of space and time, which is the source of gravitational forces according to Einstein’s theory of gravity. The PIs will strive to relate and unify these concepts by establishing connections and developing new mathematical tools. These concepts will be explored in quantum field theory, the fundamental structural framework for describing all known particle interactions, and in string theory, the most promising direction for a full unification of quantum mechanics with gravity. The results will be applicable to a wide variety of physical systems including elementary particles, quantum fluids, and gravity. This research will advance the national interest by maintaining US preeminence in the exploration and understanding of physical laws, the central goal of all research in physics. The project will also involve graduate students, providing crucial research training for young scientists. Undergraduate students, especially from underrepresented groups, will be integrated into various aspects of the research, thereby further broadening the societal impact of this project.More technically, the research by Professors Sebastian Franco, Parameswaran Nair, Alexios Polychronakos, and Daniel Kabat involves the use of a number of new theoretical techniques, developed by the PIs and collaborators, and applied to a variety of problems of current interest including entanglement in field theory, gauge field dynamics, supersymmetry breaking, dualities, and bulk reconstruction in AdS/CFT. Advances in one aspect will inform developments in another since, remarkably, there is a common thread of similar underlying mathematical and theoretical tools. Some of the topics will be of direct relevance and proximity to observations, such as supersymmetry breaking and quantum fluids, while other topics are focused on deeper conceptual and mathematical questions, such as bulk reconstruction in the holographic AdS/CFT correspondence.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.